Life probably stayed the same because a farm is big and usually cities are big too. The difference is that a city is VERY loud. especially at night. A farm is very quiet.
Look up on yt how to find those. They r pretty easy.
Answer:
a11 = -53
Step-by-step explanation:
an = -6n +13
We want the 11th term, so n =11
a11 = -6(11) +13
= -66 +13
= -53
Answer:
f(-2) = 54
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 3x(x² + 4x - 5)
f(-2) is x = -2
<u>Step 2: Evaluate</u>
- Substitute in <em>x </em>[Function]: f(-2) = 3(-2)[(-2)² + 4(-2) - 5]
- [Brackets] Evaluate exponents: f(-2) = 3(-2)[4 + 4(-2) - 5]
- [Brackets] Multiply: f(-2) = 3(-2)[4 - 8 - 5]
- [Brackets] Subtract: f(-2) = 3(-2)[-4 - 5]
- [Brackets] Subtract: f(-2) = 3(-2)(-9)
- Multiply: f(-2) = -6(-9)
- Multiply: f(-2) = 54
Answer:
n=9 and n = 12
Step-by-step explanation:
an = a1 +d(n-1) is the formula for an arithmetic series
The first term is a1 and is 2.5
The 3rd term is
2 =a1 + d(3-1)
2 = 2.5 + 2d
Solve for d
Subtract 2.5 from each side
2-2.5 = 2.5 -2.5 +2d
-.5 = 2d
Divide by 2
-.5/2 = 2d/2
-.25 =d
an = 2.5 -.25(n-1)
The sum is found by using
Sn = n/2 (a1+an)
Sn = 13.5
Substituting the formula for an)
13.5 = n/2 (2.5 + 2.5 -.25(n-1))
Multiply each side by 2 to get rid of the fraction
2*13.5 = 2* n/2 (2.5 + 2.5 -.25(n-1))
27 = n*(2.5 + 2.5 -.25(n-1))
Combine like terms
27 = n*(5- .25(n-1))
Distribute inside the parentheses
27 = n(5-.25n +.25)
Combine like terms
27 = n(5.25-.25n)
Distribute
27 = 5.25n - .25n^2
Subtract 27 on each side
27-27 = 5.25 n - .25 n^2 -27
0 = 5.25 n - .25 n^2 -27
Multiply by -4 so that the coefficient on the x^2 term is 1
0 =-21n +n^2 +108
Rewrite in standard order
0= n^2 -21n +108
Factor
0=(n-9) (n-12)
Using the zero product property
n = 9 and n=12
It Sums to 13.5 twice
When n= 9 and when n=12
Check:
a1 =2.5 a2 =2.25, a3 = 2 a4 = 1.75 a5 = 1.5 a6 = 1.25 a7 = 1 a8=.75
a9 = .5 a10 =.25 a11 =0 a12 = -.25
